Answer:
2√3
Step-by-step explanation:
To rationalize, we multiply the denominator and numerator by the surd at the base
We have it that;
6/√3 * 1
= 6/√3 * √3/√3
= 6 √3/3 = 2√(3
Huilan's age is three times Thomas's age. The sum of their ages is 100. What is Thomas's age? 1 years old
Answer:
thomas is 25 years old
Step-by-step explanation:
ratio = 3:1
3+1=4
total age=100
Thomas age = 1/4 × 100 = 25
3. Una forma de dividir facilmente entre 4 es dividiendo dos veces entre 2.Observa el ejemplo y aplica el procedimiento utilizado
Ejemplo: 568÷4=(568÷2)÷2
= 284 ÷2
= 142
a) 936÷4= c)2 812÷4=
b) 2 084÷4= d)3 720÷4=
Please help! i have no idea how to do this, all i know is it's the sine rule. it's due tomorrow so if you know how to do this please help haha
Answer:
93.2°
Step-by-step explanation:
[tex]\frac{sin(38)}{9} = \frac{sin(c)}{11}[/tex] ... c =48.8
a =180-(38+48.8) = 93.2
The graph of f(x) = −x2 − 2x + 8 is shown. Which of the following describes all solutions for f(x)?
a parabola passing through negative 4 comma zero, negative 1 comma 9, zero comma 8, and 2 comma zero
A. (x, −x2 − 2x + 8) for all real numbers
B. (−4, 0), (−1, 9), (0, 8), (2, 0)
C. (−4, 0), (2, 0)
D. (x, y) for all real numbers
Answer: C. (−4, 0), (2, 0)
Step-by-step explanation:
By solution, I believe it means the roots of the equation(aka zeros), meaning the points where the graph intersects the x-axis(aka x-intercepts). It intersects at two points: (−4, 0) and (2, 0)
Answer:
A) (x, −x2 − 2x + 8) for all real numbersStep-by-step explanation:
I got it right on my 8.06 exam! ✨ Keep believing, superstar!
and go see Sing 2 for me..its an awesome movie and it'll make u smile!
use the quadratic formula to solve x^2 + 3^x - 28 = 0
Step-by-step explanation:
x^2 + 3x - 28 = 0
x^2 - 7x + 4x - 28 = 0
x(x-7) + 4(x-7) = 0
(x+4)(x-7)= 0
x+4=0 or x-7=0
x= -4 or x=7
simplify(x_2y)(x_2y)_(x+2y)(x+2y)
Answer:
-8xy
Step-by-step explanation:
Expand
( x − 2 y ) ( x − 2 y )
x ⋅ x + x ( − 2 y ) − 2 yx − 2 y ( − 2 y ) − ( x+ 2 y ) ( x + 2 y )
x2−4xy+4y2−(x+2y)(x+2y)
x2−4xy+4y2+(−x−(2y))(x+2y)
Multiply2by−1.x2−4xy+4y2+(−x−2y)(x+2y)
x2−4xy+4y2−x⋅x−x(2y)−2yx−2y(2y)
x2−4xy+4y2−x2−4xy−4y2
− 8xy
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
x = 2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{2} }{x}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
x = 2[tex]\sqrt{2}[/tex]
Answer:
Solution given:
Relationship between perpendicular and hypotenuse is given by sin angle
Sin 30°=opposite/hypotenuse
½=[tex]\frac{\sqrt{2}}{x}[/tex]
x=2*[tex]\sqrt{2}[/tex]
The value of x is 2[tex]\sqrt{2}[/tex]
0.4x + 3 = 0.2(3x+1) - x
Solve for x
Hello!
0.4x + 3 = 0.2(3x + 1) - x
0.4x + 3 = 0.6x + 0.2 - x
0.4x + 3 = -0.4x + 0.2
0.4x + 0.4x = 0,2 - 3
0.8x = -2.8
x = -2.8 : 0.8
x = -7/2
Good luck! :)
What could be the possible "one's" digits of the square root of the number 183184? 2 or 8 4 or 6 2 or 6 only 2
Answer:
2 or 8
Step-by-step explanation:
Place value can be defined as the numerical value representing a digit owing to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands etc.
Given the following number;
183184
Taking the square root, we have;
√183184 = 428
The place value of 4 is hundreds.The place value of 2 is tens.The place value of 8 is ones or units (8 is in ones place).*Therefore, the possible "one's" digits of the square root of the number 183184 is 2 or 8.
Which table of values corresponds to the graph below?
Answer:
Step-by-step explanation:
No Graph
yall still in school? i ended may 27th hbu?
Answer:
mine ended june 9th but i got summer school for 2 classes lol
School ended the 15 of June but I'm in summer school rn it ends this Friday
what is the area of this triangle
Answer:
son Judy even eat and technology and yyry and then he will get your BMW
find the value of "a" and "b" for which the limit exists both as x approaches 1 and as x approaches 2:
Answer:
a = 4
b = -2
Step-by-step explanation:
If the given function is continuous at x = 1
[tex]\lim_{x \to 1^{-}} f(x)=(x+1)[/tex]
[tex]=2[/tex]
[tex]\lim_{x \to 1^{+}} f(x)=ax+b[/tex]
[tex]=a+b[/tex]
[tex]\lim_{x \to 1} f(x)=ax+b[/tex]
[tex]=a+b[/tex]
And for the continuity of the function at x = 1,
[tex]\lim_{x \to 1^{-}} f(x)=\lim_{x \to 1^{+}} f(x)=\lim_{x \to 1} f(x)[/tex]
Therefore, (a + b) = 2 -------(1)
If the function 'f' is continuous at x = 2,
[tex]\lim_{x \to 2^{-}} f(x)=ax+b[/tex]
[tex]=2a+b[/tex]
[tex]\lim_{x \to 2^{+}} f(x)=3x[/tex]
[tex]=6[/tex]
[tex]\lim_{x \to 2} f(x)=3x[/tex]
[tex]=6[/tex]
Therefore, [tex]\lim_{x \to 2^{-}} f(x)=\lim_{x \to 2^{+}} f(x)=\lim_{x \to 2} f(x)[/tex]
2a + b = 6 -----(2)
Subtract equation (1) from (2),
(2a + b) - (a + b) = 6 - 2
a = 4
From equation (1),
4 + b = 2
b = -2
PLZ I NEED ANSWER I GIVE BRAINLIEST TO FIRST ANSWER RIGHT
Answer:
B. Point B
Step-by-step explanation:
Find a number such that if 16 is added to it, the ratio of the result to the original number is 4:3
Answer:
48
Step-by-step explanation:
let the number be x and x + 16 the result of adding 16 to it, then
the ratio of the result to the original is
[tex]\frac{x+16}{x}[/tex] = [tex]\frac{4}{3}[/tex] ( cross- multiply )
4x = 3(x + 16) = 3x + 48 ( subtract 3x from both sides )
x = 48
Using the figure below, find the value of x. Enter your answer as a simplified radical or improper fraction (if necessary) into the equation box below.
Hello,
M=middle[AB]
The triangle ABC is equilateral :
x= 15/2
3/4 ploted on a number line
Answer:
3/4 = 0.75
- 1 - 2 - 3 - 4
3/4 so its 321 colored
Step-by-step explanation:
Find the value of x line 1 and m are parallel
Helppp
Answer:
The angle ACB = 50 degree.
Step-by-step explanation:
Given that angle E = 40 degree
Angle D = 90 degree
Triangle ABC is congruent to triangle DEC.
Now Angle ACB = Angle ECD = 90 -40 = 50 degree
So, angle ACB = 50 degree.
Please help
[tex]a { }^{2} + b {}^{2} + 18 \geqslant 6(a - b)[/tex]
Answer:
a²+b²-18greaterthan or equal to 6a-6bHow much will it cost to fill up an empty 12-gallon take if gasoline costs $1.1599 per gallon
Answer:
13.9188 dollars
Step-by-step explanation:
1.1599 * 12 = 13.9188
Answer:
1 gallon fill = $1.1599
Step-by-step explanation:
we have to fill 12-gallons
Simple-Answer:
12 gallon = 12 * $1.1599
12 gallon = $13.9188
To get a B in math, I must average 80 on 5 test. My scores on the 1st 4 test were 83, 75, 83, amd 78. What is the lowest score that I can get on the last test to still get a B?
Answer81 is the lowest you can get on the last test and still get a B.
Step-by-step explanation:I used the mean average and guess and check.
Answer:
83+ 75+ 83+ 78=319
319 divided by 4=79.75 so a high c
83+ 75+ 83+ 78+80=399
399 divided by 5=79.8 not quite
83+ 75+ 83+ 78+85=404
404 divided by 5=80.8
83+ 75+ 83+ 78+81=400
400 divided by 5=80
so you have to get a 80 to still get a b
simplify (-9)×5×6(-3)
[tex]\bf \large \hookrightarrow \:( - 9) \: \times \: 5 \: \times \: 6 \: \times \: ( - 3) \\ \\ \bf \Large \hookrightarrow \: \: \: - 45 \: \times \: ( - 18) \\ \\ \bf \Large \hookrightarrow \: \: 810[/tex]
Find the value of x,rounded to the nearest tenth
Answer:
Step-by-step explanation:
The formula for this is
14(20) = 25x and
280 =25x so
x = 11.2
someone help me please with this algebra problem
Answer:
7 in.
Step-by-step explanation:
2L + 2W = 16
Try L = 7
2(7) + 2W = 16
14 + 2W = 16
2W = 2
W = 1
If the length is 7 in., then the width is 1 in. That is perfectly acceptable, so L = 7 in. is a good value.
Try L = 8
2(8) + 2W = 16
16 + 2W = 16
2W = 0
W = 0
A length of 8 would make a width of 0. You can't have a rectangle with 0 width, so L = 8 does not work.
When L = 9 or L = 10, the width would be negative. The width of a rectangle cannot be a negative number, so these values doe not work.
Answer: 7 in.
hey guys, can you help me out?
Answer:
Step-by-step explanation:
it is incorrect at step 3
it should be 12*10^(9-5)
=12*10^4
product of (6x+8us^2)(x-us^2)
Answer:
−8s4u2+2s2ux+6x2
Step-by-step explanation:
=(6x+8us2)(x+−s2u)
=(6x)(x)+(6x)(−s2u)+(8us2)(x)+(8us2)(−s2u)
=6x2−6s2ux+8s2ux−8s4u2
=−8s4u2+2s2ux+6x2
Answer:
6x² + 2xus² - 8u²s^4
Step-by-step explanation:
(6x+8us²)(x-us²)
6x² - 6xus² + 8xus² - 8u²s^4
6x² + 2xus² - 8u²s^4
PLEASE HELP!!! Urgent. Will mark as brainliest
Answer:
Step-by-step explanation:
m∠2 = [tex]\frac{1}{2}[/tex](55+41)
m∠2 = [tex]\frac{1}{2}[/tex](96)
m∠2 =48°
m∠1 = 180-48 = 132°
help or i will fail my acellus
Answer:
I think it's 155 cm
Step-by-step explanation:
=(5×5×3)+(5×2×4)
= 75+40
= 155 cm2
Given ACM, angle C=90º. AP=9, PM=12. Find AC, CM, AM.
Answer:
AM = 25, AC = 15, CM = 20
Step-by-step explanation:
The given parameters are;
In ΔACM, ∠C = 90°, [tex]\overline{CP}[/tex] ⊥ [tex]\overline{AM}[/tex], AP = 9, and PM = 16
[tex]\overline{AC}[/tex]² + [tex]\overline{CM}[/tex]² = [tex]\overline{AM}[/tex]²
[tex]\overline{AM}[/tex] = [tex]\overline{AP}[/tex] + PM = 9 + 16 = 25
[tex]\overline{AM}[/tex] = 25
[tex]\overline{AC}[/tex]² = [tex]\overline{AP}[/tex]² + [tex]\overline{CP}[/tex]² = 9² + [tex]\overline{CP}[/tex]²
∴ [tex]\overline{AC}[/tex]² = 9² + [tex]\overline{CP}[/tex]²
Similarly we get;
[tex]\overline{CM}[/tex]² = 16² + [tex]\overline{CP}[/tex]²
Therefore, we get;
[tex]\overline{AC}[/tex]² + [tex]\overline{CM}[/tex]² = 9² + [tex]\overline{CP}[/tex]² + 16² + [tex]\overline{CP}[/tex]² = [tex]\overline{AM}[/tex]² = 25²
2·[tex]\overline{CP}[/tex]² = 25² - (9² + 16²) = 288
[tex]\overline{CP}[/tex]² = 288/2 = 144
[tex]\overline{CP}[/tex] = √144 = 12
From [tex]\overline{AC}[/tex]² = 9² + [tex]\overline{CP}[/tex]², we get
[tex]\overline{AC}[/tex] = √(9² + 12²) = 15
[tex]\overline{AC}[/tex] = 15
From, [tex]\overline{CM}[/tex]² = 16² + [tex]\overline{CP}[/tex]², we get;
[tex]\overline{CM}[/tex] = √(16² + 12²) = 20
[tex]\overline{CM}[/tex] = 20.
A car can run 16 km using 1 litre of pertol. How much distance will it cover using 2 3/4liters of petrol
===============================================
Work shown:
3/4 = 0.75
2 3/4 = 2 & 3/4 = 2 + 3/4 = 2 + 0.75 = 2.75
We can form a proportion and solve for x like so
(16 km)/(1 liter) = (x km)/(2.75 liters)
16/1 = x/2.75
16*2.75 = 1*x .... cross multiplication
44 = x
x = 44
The car will cover a distance of 44 km